Uniqueness of dilaton Melvin-Schwarzschild solution

We show that the dilaton Melvin-Schwarzschild black hole is the only asymptotically dilaton Melvin static axisymmetric solution of Einstein-Maxwell dilaton equations of motion.Comment: 8 pages, RevTex, to be published in Phys.Rev.D1

Matter ouside a Static Higher-dimensional Black Hole

We considered matter fields composed of a perfect fluid in the static higher-dimensional spherically symmetric asymptotically flat black hole spacetime. The proof of the nonexistence of perfect fluid matter in such a background was provided under the auxiliary condition, which can be interpreted as a relation connecting the stellar mass and the black hole mass in question.Comment: 14 pages, RevTex, to be published in Phys.Rev.D1

First Law of p-brane Thermodynamics

We study the physical process version and the equilibrium state version of the first law of thermodynamics for a charged p-brane. the general setting for our investigations is (n+p+1)-dimensional Einstein dilaton gravity with (p+2) strength form fields.Comment: Revtex, to be published in Phys.Rev.D1

Neutrino Oscillations in Strong Gravitational Fields

Neutrinos do oscillate, which up to our best knowledge implies that they are massive particles. As such, neutrinos should interact with gravitational fields. As their masses are tiny, the gravitational fields must be extremely strong. In this paper we study the influence of black holes described by non-trivial topologies on the neutrino oscillations. We present approximate analytical and numerical solutions of certain specific cases.Comment: I've decided to move the collection of my papers to arXiv for easier access. Proceedings of the Nuclear Physics Workshop in Kazimierz Dolny, Poland, 201

Dilaton Black Holes on Thick Branes

We study a black hole domain wall system in dilatonic gravity being the low-energy limit of the string theory. Using the C-metric construction we derive the metric for an infinitisemally thin domain wall intersecting dilaton black hole. The behavior of the domain wall in the spacetime of dilaton black hole was analyzed and it was revealed that the extereme dilaton black hole always expelled the domain wall. We elaborated the back reaction problem and concluded that topological kink solution smoothes out singularity of the considered topological defect. Finally we gave some comments concerning nucleation of dilaton black holes in the presence of the domain wall. We found that domain walls would rather prefer to nucleate small black holes on them, than large ones inside them.Comment: 13 pages, Late

Black Rings and the Physical Process Version of the First Law of Thermodynamics

We consider the problem of physical process version of the first law of black ring thermodynamics in n-dimensional Einstein gravity with additional (p+1)-form field strength and dilaton fields. The first order variations of mass, angular momentum and local charge for black ring was derived. By means of them we prove the physical process version of the first law of thermodynamics for stationary black rings.Comment: RevTex, 6 pages, to be published in Phys.Rev.D1

Uniqueness theorem for static dilaton U(1)^2 black holes

Using a sigma model formulation of the field equations as on a two-dimensional manifold we provide the proof of a black hole uniqueness solution in N=4, d=4 supergravity subject to certain boundary conditions. We considered the black hole solutions both in SU(4) and SO(4) versions of the underlying theory.Comment: revtex, accepted for publication in Phys.Rev.

Uniqueness Theorem for Static Dilaton U(1)^N Black Holes

A sigma model formulation for static dilaton black holes with N Abelian gauge fields was presented. We proved uniqueness of static asymptotically flat spacetimes with non-degenerate black holes for the considered theory.Comment: 8 pages, Revte

Positivity of the Bondi Energy in Einstein-Maxwell Axion- Dilaton Gravity

We present a proof of the positivity of the Bondi energy in Einstein-Maxwell axion-dilaton gravity, being the low-energy limit of the heterotic string theory. We consider the spacelike hypersurface which asymptotically approaches a null cone and on which the equations of the theory under consideration are given. Next, we generalize the proof allowing the hypersurface having inner boundaries.Comment: 13 pages, Latex, Class.Quantum Grav. in pres

Uniqueness of higher-dimensional Einstein-Maxwell-phantom dilaton wormholes

The uniqueness of static spherically symmetric traversable wormholes with two asymptotically flat ends, subject to the higher-dimensional solutions of Einstein-Maxwell-phantom dilaton field equations was proved. We considered the case of an arbitrary dilaton coupling constant. Conformal positive energy theorem plays the key role in the considerations.Comment: 5 pages, RevTex, published in Phys.Rev.D. arXiv admin note: text overlap with arXiv:1801.0198